Work

Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria

Year: 2017

Type: article

Abstract: We introduce and investigate a four-dimensional hidden hyperchaotic system without equilibria, which is obtained by augmenting the three-dimensional self-exciting homopolar disc dynamo due to Moffatt with an additional control variable. Synchronization of two such coupled disc dynamo models is investigated by active control and sliding mode control methods. Numerical integrations show that sliding mode control provides a better synchronization in time but causes chattering. The solution is obtained by switching to active control when the synchronization errors become very small. In addition, the electronic circuit of the four-dimensional hyperchaotic system has been realized in ORCAD-PSpice and on the oscilloscope by amplitude values, verifying the results from the numerical experiments.

Source: Complexity

DOI: 10.1155/2017/7101927

Authors: Yu Feng, Zhouchao Wei, Uğur Erkin Kocamaz, Akif Akgül, Irene Moroz

Institutions: Yulin Normal University, China University of Geosciences, University of Oxford, Bursa Uludağ Üni̇versi̇tesi̇, Sakarya University

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,760

Funders: National Natural Science Foundation of China, Sakarya Üniversitesi, Natural Science Foundation of Guangxi Province